计算:√(3a)/2b*[√(b/a)÷2√(1/b)]

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计算:√(3a)/2b*[√(b/a)÷2√(1/b)]

计算:√(3a)/2b*[√(b/a)÷2√(1/b)]
计算:√(3a)/2b*[√(b/a)÷2√(1/b)]

计算:√(3a)/2b*[√(b/a)÷2√(1/b)]
√(3a)/2b*[√(b/a)÷2√(1/b)]
=√(3a)/2b*[√(b/a)÷√(4/b)]
=√(3a)/2b*[√(b/a÷4/b)]
=√(3a)/2b*[√(b/a*b/4)]
=√(3a)/2b*√[(b²/(4a)]
=√(3a)*√[(b²/(4a)]/2b
=√[3a*b²/(4a)]/2b
=√[3b²/4]/2b
=b/2*√3/2b
=b/2*√3*1/2b
=√3/4